NatToU32Bounds.native_bound: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend as NatToU32Bounds
Lines 35-40 of stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend&start_line=35&end_line=40

import Base
import stelliferous@0.0.2.0/proofs/u32_comparison.bend as Comparison

def native_bound(+n: Nat,+cap: U32,e: {U32.to_nat(U32.from_nat(n)) == n : Nat},h: {Nat.is_lt(n,
      U32.to_nat(cap)) == True{} : Bool}) -> {U32.is_lt(U32.from_nat(n),cap) == True{} : Bool}:
  %Equal.sym(Bool,U32.is_lt(U32.from_nat(n),cap),Nat.is_lt(U32.to_nat(U32.from_nat(n)),U32.to_nat(cap)),Comparison.lt(U32.from_nat(n),
      cap)) : {_ == True{} : Bool}
  %Equal.sym(Nat,U32.to_nat(U32.from_nat(n)),n,e) : {Nat.is_lt(_,U32.to_nat(cap)) == True{} : Bool}
  h

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/u32_comparison.bend&name=lt